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Question: If H and G are respectively the HM and GM of positive real numbers 'a' and 'b', such that H : G = 4...

If H and G are respectively the HM and GM of positive real numbers 'a' and 'b', such that

H : G = 4 : 5, then a : b is (a > b)

A

5 : 4

B

1 : 4

C

1 : 5

D

None

Answer

None

Explanation

Solution

Q AG\frac { \mathrm { A } } { \mathrm { G } } = = 54\frac { 5 } { 4 } \ ab\frac { \mathrm { a } } { \mathrm { b } } = 5+52−425−52−42\frac { 5 + \sqrt { 5 ^ { 2 } - 4 ^ { 2 } } } { 5 - \sqrt { 5 ^ { 2 } - 4 ^ { 2 } } }

= 5+35−3\frac { 5 + 3 } { 5 - 3 }= 41\frac { 4 } { 1 }